28 citations · 46 across the 17 of their papers we have counts for
19 papers · 1 filter
Time of appearance of a large gap in a dynamic Poisson point process
Eric Foxall, Clément Soubrier
We study the distribution of the 'gap time', the first time that a large gap appears, in the spatial birth and death point process on in which particles are added uniformly…
Takeover, fixation and identifiability in finite neutral genealogy models
Eric Foxall, Jen Labossiere
For neutral genealogy models in a finite, possibly non-constant population, there is a convenient ordered rearrangement of the particles, known as the lookdown representation, that…
Extinction time of the logistic process
Eric Foxall
The logistic birth and death process is perhaps the simplest stochastic population model that has both density-dependent reproduction, and a phase transition, and a lot can be lear…
Clustering in the three and four color cyclic particle systems in one dimension
Eric Foxall, Hanbaek Lyu
We study the -color cyclic particle system on the one-dimensional integer lattice , first introduced by Bramson and Griffeath in \cite{bramson1989flux}. In that pape…
Diffusion limit for the partner model at the critical value
Anirban Basak, Rick Durrett, Eric Foxall
The partner model is an SIS epidemic in a population with random formation and dissolution of partnerships, and with disease transmission only occuring within partnerships. Foxall,…
The Naming Game on the complete graph
Eric Foxall
We consider a model of language development, known as the naming game, in which agents invent, share and then select descriptive words for a single object, in such a way as to prom…